Finite Group Databasebeta

← #30576925

Subgroups — #30576925

Order 15616.

1702 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21460464C211yesmaximal, characteristic, complemented
2#21459823C211yesmaximal, characteristic, complemented
3#21458788C211yesmaximal, characteristic, complemented
4#21458766C211yesmaximal, characteristic, complemented
5#21458550C211yesmaximal, characteristic, complemented
6#21458528C211yesmaximal, characteristic, complemented
7#21458366C211yesmaximal, characteristic, complemented
8#21458321C211yesmaximal, characteristic, complemented
9#21458291C211yesmaximal, characteristic, complemented
10#21458261C211yesmaximal, characteristic, complemented
11#21458222C211yesmaximal, characteristic, complemented
12#21458200C211yesmaximal, characteristic, complemented
13#21457947C211yesmaximal, characteristic, complemented
14#21457947C211yesmaximal, characteristic, complemented
15#21457827C211yesmaximal, characteristic, complemented
16#21457827C211yesmaximal, characteristic, complemented
17#21457770C211yesmaximal, characteristic, complemented
18#21457759C211yesmaximal, characteristic, complemented
19#21457232C211yesmaximal, characteristic, complemented
20#21457232C211yesmaximal, characteristic, complemented
21#21457146C211yesmaximal, characteristic, complemented
22#21457074C211yesmaximal, characteristic, complemented
23#21457074C211yesmaximal, characteristic, complemented
24#21457019C211yesmaximal, characteristic, complemented
25#21456098C211yesmaximal, characteristic, complemented
26#21456083C211yesmaximal, characteristic, complemented
27#21455930C211yesmaximal, characteristic, complemented
28#21455683C211yesmaximal, characteristic, complemented
29#21455672C211yesmaximal, characteristic, complemented
30#21455609C211yesmaximal, characteristic, complemented
31C61×#2992C211yesmaximal, characteristic, complemented
32#16840513—21no—
33#16840507—21no—
34#16840490C2211yescharacteristic
35#16840490C2211yescharacteristic
36#16840482C2211yescharacteristic
37#16840479—21no—
38#16840477C2211yescharacteristic
39#16840472C2211yescharacteristic
40#16840463—21no—
41#16840463—21no—
42#16840458C2211yescharacteristic
43#16840458C2211yescharacteristic
44#16840458C2211yescharacteristic
45#16840458C2211yescharacteristic
46#16840452C2211yescharacteristic
47#16840452C2211yescharacteristic
48#16840448—21no—
49#16840434C2211yescharacteristic
50#16840433C2211yescharacteristic
51#16840433C2211yescharacteristic
52#16840433C2211yescharacteristic
53#16840430—21no—
54#16840416C2211yescharacteristic
55#16840414—21no—
56#16840390C2211yescharacteristic
57#16840390C2211yescharacteristic
58#16840383C2211yescharacteristic
59#16840383C2211yescharacteristic
60#16840380—21no—
61#16840376—21no—
62#16840371—21no—
63#16840367C2211yescharacteristic
64#16840367C2211yescharacteristic
65#16840364—21no—
66#16840364—21no—
67#16840355—21no—
68#16840319C2211yescharacteristic
69#16840312C2211yescharacteristic
70#16840311—21no—
71#16840297—21no—
72#16840296C2211yescharacteristic
73#16840242C2211yescharacteristic
74#16840242C2211yescharacteristic
75C4×#11758222C2211yescharacteristic
76#16840171C2211yescharacteristic
77#16840171C2211yescharacteristic
78#16840171C2211yescharacteristic
79#16840171C2211yescharacteristic
80#16840164C2211yescharacteristic
81#16840164C2211yescharacteristic
82#16840127C2211yescharacteristic
83#16840127C2211yescharacteristic
84#16840127C2211yescharacteristic
85#16840127C2211yescharacteristic
86#16840109C2211yescharacteristic
87#16840109C2211yescharacteristic
88#16840104C2211yescharacteristic
89#16840098C2211yescharacteristic
90#16840093C2211yescharacteristic
91#16840087C2211yescharacteristic
92#16840087C2211yescharacteristic
93#16840087C2211yescharacteristic
94#16840087C2211yescharacteristic
95#16840087C2211yescharacteristic
96#16840087C2211yescharacteristic
97#16840087C2211yescharacteristic
98#16840087C2211yescharacteristic
99#16840087C2211yescharacteristic
100#16840081C2211yescharacteristic
101#16840081C2211yescharacteristic
102#16840081C2211yescharacteristic
103#16840076C2211yescharacteristic
104#16840076C2211yescharacteristic
105#16840076C2211yescharacteristic
106#16840070C2211yescharacteristic
107#16840070C2211yescharacteristic
108#16840070C2211yescharacteristic
109#16840070C2211yescharacteristic
110#16840070C2211yescharacteristic
111#16840070C2211yescharacteristic
112#16840070C2211yescharacteristic
113#16840063C2211yescharacteristic
114#16840063C2211yescharacteristic
115#16840063C2211yescharacteristic
116#16840063C2211yescharacteristic
117#16840063C2211yescharacteristic
118#16840063C2211yescharacteristic
119#16840063C2211yescharacteristic
120#16840063C2211yescharacteristic
121#16840063C2211yescharacteristic
122#16840058C2211yescharacteristic
123#16840058C2211yescharacteristic
124#16840058C2211yescharacteristic
125#16840053C2211yescharacteristic
126#16840053C2211yescharacteristic
127#16840053C2211yescharacteristic
128#16840053C2211yescharacteristic
129#16840053C2211yescharacteristic
130#16840048C2211yescharacteristic
131#16840048C2211yescharacteristic
132#16840043C2211yescharacteristic
133#16840043C2211yescharacteristic
134#16840043C2211yescharacteristic
135#16840043C2211yescharacteristic
136#16840015C2211yescharacteristic
137#16840015C2211yescharacteristic
138#16840008C2211yescharacteristic
139#16840008C2211yescharacteristic
140#16839998C2211yescharacteristic
141#16839998C2211yescharacteristic
142#16839998C2211yescharacteristic
143#16839998C2211yescharacteristic
144#16839991C2211yescharacteristic
145#16839991C2211yescharacteristic
146#16839991C2211yescharacteristic
147#16839991C2211yescharacteristic
148#16839985C2211yescharacteristic
149#16839978C2211yescharacteristic
150#16839978C2211yescharacteristic
151#16839978C2211yescharacteristic
152#16839963C2211yescharacteristic
153#16839963C2211yescharacteristic
154#16839963C2211yescharacteristic
155#16839958C2211yescharacteristic
156#16839958C2211yescharacteristic
157#16839958C2211yescharacteristic
158#16839926C2211yescharacteristic
159#16839926C2211yescharacteristic
160#16839926C2211yescharacteristic
161#16839909C2211yescharacteristic
162#16839909C2211yescharacteristic
163#16839909C2211yescharacteristic
164#16839875C2211yescharacteristic
165#16839875C2211yescharacteristic
166#16839870C2211yescharacteristic
167#16839870C2211yescharacteristic
168#16839864C2211yescharacteristic
169#16839864C2211yescharacteristic
170#16839864C2211yescharacteristic
171#16839864C2211yescharacteristic
172C4×Dic244C2211yescharacteristic
173C4×#11758190C2211yescharacteristic
174C4×#11758190C2211yescharacteristic
175C4×D488C2211yescharacteristic
176#16839804C2211yescharacteristic
177#16839804C2211yescharacteristic
178#16839800C2211yescharacteristic
179#16839800C2211yescharacteristic
180C2×#14519711C2211yescharacteristic
181C2×#14519709C2211yescharacteristic
182#16839764C2211yescharacteristic
183#16839764C2211yescharacteristic
184#16839759C2211yescharacteristic
185#16839759C2211yescharacteristic
186#16839759C2211yescharacteristic
187#16839759C2211yescharacteristic
188C61×#529C2211yescharacteristic
189C61×#446C2211yescharacteristic
190C61×#446C2211yescharacteristic
191C61×#435C2211yescharacteristic
192C61×#435C2211yescharacteristic
193C61×#435C2211yescharacteristic
194C61×#435C2211yescharacteristic
195C8×D4×C61C2211yescharacteristic
196C8×D4×C61C2211yescharacteristic
197C61×#433C2211yescharacteristic
198C61×#433C2211yescharacteristic
199C61×#432C2211yescharacteristic
200C61×#424C2211yescharacteristic
201C61×#424C2211yescharacteristic
202C2×C4⋊C8×C61C2211yescharacteristic
203C2×#11758226—21no—
204C2×#11758222—21no—
205C2×#11758222C2311yescharacteristic
206C2×#11758222C2311yescharacteristic
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C2×Dic244C2311yescharacteristic
210C2×#11758190C2311yescharacteristic
211C2×#11758190C2311yescharacteristic
212C2×#11758190C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×D488C2311yescharacteristic
215C2×D488C2311yescharacteristic
216C2×D488C2311yescharacteristic
217#14519777C2311yescharacteristic
218#14519777C2311yescharacteristic
219#14519777C2311yescharacteristic
220#14519777C2311yescharacteristic
221#14519777C2311yescharacteristic
222#14519776—21no—
223#14519776—21no—
224#14519775—21no—
225#14519775—21no—
226#14519774C2311yescharacteristic
227#14519774C2311yescharacteristic
228#14519774C2311yescharacteristic
229#14519773—21no—
230#14519773—21no—
231#14519773—21no—
232#14519772—21no—
233#14519772—21no—
234#14519772—21no—
235#14519772—21no—
236#14519772—21no—
237#14519772—21no—
238#14519771—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519769C2311yescharacteristic
244#14519769C2311yescharacteristic
245#14519769C2311yescharacteristic
246#14519769C2311yescharacteristic
247#14519769C2311yescharacteristic
248#14519769C2311yescharacteristic
249#14519769C2311yescharacteristic
250#14519768—21no—
251#14519768—21no—
252#14519767—21no—
253#14519767—21no—
254#14519767—21no—
255#14519767—21no—
256#14519767—21no—
257#14519767—21no—
258#14519765—21no—
259#14519765C2311yescharacteristic
260#14519764—21no—
261#14519763—21no—
262#14519763—21no—
263#14519763—21no—
264#14519763—21no—
265#14519762—21no—
266#14519762—21no—
267#14519762—21no—
268#14519762—21no—
269#14519761—21no—
270#14519761—21no—
271#14519760—21no—
272#14519759—21no—
273#14519759—21no—
274#14519759—21no—
275#14519759—21no—
276#14519759—21no—
277#14519759—21no—
278#14519758—21no—
279#14519758—21no—
280#14519757—21no—
281#14519756—21no—
282#14519756—21no—
283#14519756C2311yescharacteristic
284#14519756C2311yescharacteristic
285#14519756C2311yescharacteristic
286#14519755—21no—
287#14519755—21no—
288#14519755—21no—
289#14519755—21no—
290#14519754—21no—
291#14519754—21no—
292#14519754—21no—
293#14519754—21no—
294#14519753—21no—
295#14519752—21no—
296#14519752—21no—
297#14519752—21no—
298#14519751—21no—
299#14519751C2311yescharacteristic
300#14519751C2311yescharacteristic
301#14519751C2311yescharacteristic
302#14519751C2311yescharacteristic
303#14519751C2311yescharacteristic
304#14519751C2311yescharacteristic
305#14519751C2311yescharacteristic
306#14519751C2311yescharacteristic
307#14519751C2311yescharacteristic
308#14519750—21no—
309#14519750—21no—
310#14519750—21no—
311#14519750—21no—
312#14519750—21no—
313#14519750—21no—
314#14519750—21no—
315#14519750—21no—
316#14519750—21no—
317#14519750—21no—
318#14519749—21no—
319#14519749—21no—
320#14519749—21no—
321#14519749—21no—
322#14519748—21no—
323C4×Dic122—21no—
324C4×Dic122—21no—
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328C4×Dic122C2311yescharacteristic
329C4×Dic122C2311yescharacteristic
330C4×Dic122C2311yescharacteristic
331C4×Dic122C2311yescharacteristic
332#14519742—21no—
333#14519742—21no—
334#14519742—21no—
335C4×D244—21no—
336C4×D244C2311yescharacteristic
337C4×D244C2311yescharacteristic
338C4×D244C2311yescharacteristic
339C4×D244C2311yescharacteristic
340C4×D244C2311yescharacteristic
341C4×D244C2311yescharacteristic
342C4×D244C2311yescharacteristic
343C4×D244C2311yescharacteristic
344C4×D244C2311yescharacteristic
345#14519739—21no—
346#14519739—21no—
347#14519739—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351#14519737—21no—
352#14519737—21no—
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519736C2311yescharacteristic
360#14519736C2311yescharacteristic
361#14519736C2311yescharacteristic
362#14519736C2311yescharacteristic
363#14519736C2311yescharacteristic
364#14519735—21no—
365#14519735—21no—
366#14519735—21no—
367#14519734—21no—
368#14519734—21no—
369#14519733—21no—
370#14519733—21no—
371C2×C4⋊Dic61C2311yescharacteristic
372C2×C4⋊Dic61C2311yescharacteristic
373C2×C4⋊Dic61C2311yescharacteristic
374C2×C4⋊Dic61C2311yescharacteristic
375C4⋊C4×D61—21no—
376C4⋊C4×D61—21no—
377C4⋊C4×D61—21no—
378C42×D61—21no—
379#14519711C2311yescharacteristic
380#14519711C2311yescharacteristic
381#14519711C2311yescharacteristic
382#14519711C2311yescharacteristic
383#14519711C2311yescharacteristic
384#14519711C2311yescharacteristic
385#14519711C2311yescharacteristic
386#14519711C2311yescharacteristic
387#14519711C2311yescharacteristic
388#14519711C2311yescharacteristic
389#14519711C2311yescharacteristic
390#14519711C2311yescharacteristic
391#14519709C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519709C2311yescharacteristic
395#14519709C2311yescharacteristic
396#14519709C2311yescharacteristic
397#14519709C2311yescharacteristic
398#14519709C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519709C2311yescharacteristic
401#14519709C2311yescharacteristic
402#14519709C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519702C2311yescharacteristic
410#14519702C2311yescharacteristic
411#14519702C2311yescharacteristic
412#14519702C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic
422#14519699C2311yescharacteristic
423#14519699C2311yescharacteristic
424#14519699C2311yescharacteristic
425#14519699C2311yescharacteristic
426#14519699C2311yescharacteristic
427#14519699C2311yescharacteristic
428#14519699C2311yescharacteristic
429#14519699C2311yescharacteristic
430#14519699C2311yescharacteristic
431#14519699C2311yescharacteristic
432#14519699C2311yescharacteristic
433#14519699C2311yescharacteristic
434#14519699C2311yescharacteristic
435C2×M16×C61C2311yescharacteristic
436C2×M16×C61C2311yescharacteristic
437C22×C8×C61C2311yescharacteristic
438C22×C8×C61C2311yescharacteristic
439C22×C8×C61C2311yescharacteristic
440C22×C8×C61C2311yescharacteristic
441#126×C61D411yescharacteristic
442#126×C61D411yescharacteristic
443#125×C61D411yescharacteristic
444#124×C61D411yescharacteristic
445#123×C61D411yescharacteristic
446#123×C61D411yescharacteristic
447C22⋊Q8×C61D411yescharacteristic
448#121×C61D411yescharacteristic
449C4×Q8×C61C2311yescharacteristic
450C4×D4×C61C2311yescharacteristic
451C4×D4×C61C2311yescharacteristic
452C4×D4×C61C2311yescharacteristic
453#117×C61C2311yescharacteristic
454#117×C61C2311yescharacteristic
455C2×C42×C61C2311yescharacteristic
456C4⋊C8×C61C2311yescharacteristic
457C4⋊C8×C61C2311yescharacteristic
458C4⋊C8×C61C2311yescharacteristic
459C4⋊C8×C61C2311yescharacteristic
460C4⋊C8×C61C2311yescharacteristic
461C4⋊C8×C61C2311yescharacteristic
462C4⋊C8×C61C2311yescharacteristic
463C4⋊C8×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466C22⋊C8×C61C2311yescharacteristic
467C22⋊C8×C61C2311yescharacteristic
468C22⋊C8×C61C2311yescharacteristic
469C22⋊C8×C61C2311yescharacteristic
470C22⋊C8×C61C2311yescharacteristic
471C22⋊C8×C61C2311yescharacteristic
472#97×C61C2311yescharacteristic
473#97×C61C2311yescharacteristic
474#97×C61C2311yescharacteristic
475#97×C61C2311yescharacteristic
476C4×C8×C61C2311yescharacteristic
477C4×C8×C61C2311yescharacteristic
478C2×Q8×C61C2×D411yescharacteristic
479C2×D4×C61C2×D411yescharacteristic
480C2×D4×C61C2×D411yescharacteristic
481C2×D4×C61C2×D411yescharacteristic
482C22×C4×C61C2×D411yescharacteristic
483C22×C4×C61C2×D411yescharacteristic
484C22×C4×C61C2411yescharacteristic
485C22×C4×C61C2411yescharacteristic
486C22×C4×C61C2411yescharacteristic
487C2×C22⋊D61—21no—
488C2×C22⋊D61—21no—
489C2×C22⋊D61—21no—
490C2×C22⋊D61—21no—
491C2×C22⋊D61—21no—
492C2×C22⋊D61—21no—
493C2×C22⋊D61—21no—
494C2×C22⋊D61—21no—
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C22×Dic61—21no—
500C22×Dic61—21no—
501C22×Dic61—21no—
502C22×Dic61—21no—
503#11758226—82no—
504#11758224—82no—
505#11758222—22no—
506#11758222—22no—
507#11758222—22no—
508#11758222—41no—
509#11758222—41no—
510#11758222—41no—
511#11758222—82no—
512C2×D244—21no—
513C2×D244—21no—
514C2×D244—21no—
515C2×D244—21no—
516C2×D244—21no—
517C2×D244—21no—
518C2×D244C2411yescharacteristic
519C2×D244C2411yescharacteristic
520C2×D244C2411yescharacteristic
521C2×D244C2411yescharacteristic
522C2×C4×D61—21no—
523C2×C4×D61—21no—
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×Dic122—21no—
535C2×Dic122—21no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—21no—
539C2×Dic122C2411yescharacteristic
540C2×Dic122C2411yescharacteristic
541M16×C61—41no—
542M16×C61—41no—
543C2×C8×C61—41no—
544C2×C8×C61—41no—
545C2×C8×C61—41no—
546C2×C8×C61—41no—
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C2×C8×C61C2411yescharacteristic
554C2×C8×C61C2411yescharacteristic
555C4⋊C4×C61C2×D411yescharacteristic
556C4⋊C4×C61C2×D411yescharacteristic
557C4⋊C4×C61C2×D411yescharacteristic
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2×D411yescharacteristic
560C4⋊C4×C61C2×D411yescharacteristic
561C4⋊C4×C61C2×D411yescharacteristic
562C4⋊C4×C61C2×D411yescharacteristic
563C4⋊C4×C61C2×D411yescharacteristic
564C4⋊C4×C61C2×D411yescharacteristic
565C22⋊C4×C61C2×D411yescharacteristic
566C22⋊C4×C61C2×D411yescharacteristic
567C22⋊C4×C61C2×D411yescharacteristic
568C22⋊C4×C61C2×D411yescharacteristic
569C22⋊C4×C61C2×D411yescharacteristic
570C22⋊C4×C61C2×D411yescharacteristic
571C22⋊C4×C61C2×D411yescharacteristic
572C22⋊C4×C61C2×D411yescharacteristic
573C22⋊C4×C61C2×D411yescharacteristic
574C22⋊C4×C61C2×D411yescharacteristic
575C42×C61C2×D411yescharacteristic
576C42×C61C2×D411yescharacteristic
577C42×C61C2411yescharacteristic
578C42×C61C2411yescharacteristic
579C42×C61C2411yescharacteristic
580C42×C61C2411yescharacteristic
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61—21no—
589#11758198—21no—
590#11758198—21no—
591#11758198—21no—
592#11758198—21no—
593#11758198—21no—
594#11758198—21no—
595#11758198—21no—
596#11758198—21no—
597#11758198—21no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609C4⋊Dic61—21no—
610C4⋊Dic61—21no—
611C4⋊Dic61—21no—
612C4⋊Dic61—21no—
613C4⋊Dic61—21no—
614C4⋊Dic61—21no—
615C4⋊Dic61—21no—
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61C2411yescharacteristic
619C4⋊Dic61C2411yescharacteristic
620C4⋊Dic61C2411yescharacteristic
621C4⋊Dic61C2411yescharacteristic
622C4⋊Dic61C2411yescharacteristic
623C4⋊Dic61C2411yescharacteristic
624C4⋊Dic61C2411yescharacteristic
625C4⋊Dic61C2411yescharacteristic
626C4⋊Dic61C2411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628#11758196—21no—
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#11758196—21no—
639#11758196—21no—
640#11758196—21no—
641#11758196—21no—
642#11758196—21no—
643#11758196—21no—
644#11758196—21no—
645#11758196—21no—
646#11758196—21no—
647#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196—21no—
651#11758196—21no—
652C4×Dic61—21no—
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664Dic244—22no—
665D488—41no—
666D488—41no—
667D488—41no—
668#11758190—22no—
669#11758190—41no—
670#11758190—41no—
671#11758190—41no—
672C23×C61C22×D411yescharacteristic
673C23×C61C22×D411yescharacteristic
674C23×C61C22×D411yescharacteristic
675C22×D61—21no—
676C22×D61—21no—
677C22×D61—21no—
678C22×D61—21no—
679Q8×C61—41no—
680D4×C61—41no—
681D4×C61—41no—
682D4×C61—41no—
683C2×C4×C61—21no—
684C2×C4×C61—21no—
685C2×C4×C61—21no—
686C2×C4×C61—21no—
687C2×C4×C61—21no—
688C2×C4×C61—21no—
689C2×C4×C61—41no—
690C2×C4×C61—41no—
691C2×C4×C61C22×D411yescharacteristic
692C2×C4×C61C22×D411yescharacteristic
693C2×C4×C61C22×D411yescharacteristic
694C2×C4×C61C22×D411yescharacteristic
695C2×C4×C61C22×D411yescharacteristic
696C2×C4×C61C22×D411yescharacteristic
697C2×C4×C61C22×D411yescharacteristic
698C2×C4×C61C22×D411yescharacteristic
699C2×C4×C61C22×D411yescharacteristic
700C2×C4×C61C22×D411yescharacteristic
701C2×C4×C61C22×D411yescharacteristic
702C2×C4×C61C2511yescharacteristic
703C22⋊D61—42no—
704C22⋊D61—42no—
705C22⋊D61—42no—
706C22⋊D61—81no—
707C22⋊D61—81no—
708C22⋊D61—81no—
709C22⋊D61—81no—
710C22⋊D61—81no—
711C22⋊D61—81no—
712C22⋊D61—81no—
713C22⋊D61—81no—
714C22⋊D61—81no—
715C2×Dic61—21no—
716C2×Dic61—21no—
717C2×Dic61—21no—
718C2×Dic61—21no—
719C2×Dic61—21no—
720C2×Dic61—21no—
721C2×Dic61—21no—
722C2×Dic61—21no—
723C2×Dic61—21no—
724C2×Dic61—21no—
725C2×Dic61—21no—
726C2×Dic61—21no—
727C2×Dic61—81no—
728C2×Dic61—81no—
729C2×Dic61—81no—
730C2×Dic61—81no—
731D244—21no—
732D244—21no—
733D244—21no—
734D244—21no—
735D244—21no—
736D244—21no—
737D244—21no—
738D244—21no—
739D244—42no—
740D244—81no—
741D244—81no—
742D244—81no—
743D244—81no—
744D244—81no—
745C4×D61—42no—
746C4×D61—42no—
747C4×D61—42no—
748C4×D61—42no—
749C4×D61—81no—
750C4×D61—81no—
751C4×D61—81no—
752C4×D61—81no—
753C4×D61—81no—
754C4×D61—81no—
755C4×D61—81no—
756C4×D61—81no—
757Dic122—21no—
758Dic122—21no—
759Dic122—21no—
760Dic122—42no—
761Dic122—81no—
762Dic122—81no—
763Dic122—81no—
764Dic122—81no—
765Dic1222−1+412yes—
766C8×C61—21no—
767C8×C61—21no—
768C8×C61—21no—
769C8×C61—21no—
770C8×C61—21no—
771C8×C61—21no—
772C8×C61—21no—
773C8×C61—21no—
774#62162—611nomaximal, Sylow
775C22×C61—21no—
776C22×C61—21no—
777C22×C61—21no—
778C22×C61—21no—
779C22×C61—21no—
780C22×C61—21no—
781C22×C61—21no—
782C22×C61—21no—
783C22×C61—21no—
784C22×C61C23×D411yescharacteristic
785C2×D61—41no—
786C2×D61—41no—
787C2×D61—41no—
788C2×D61—41no—
789C2×D61—41no—
790C2×D61—41no—
791C2×D61—41no—
792C2×D61—41no—
793C2×D61—41no—
794C2×D61—41no—
795C2×D61—41no—
796C2×D61—41no—
797C4×C61—21no—
798C4×C61—21no—
799C4×C61—21no—
800C4×C61—21no—
801C4×C61—21no—
802C4×C61—21no—
803C4×C61—21no—
804C4×C61—21no—
805C4×C61—21no—
806C4×C61—21no—
807C4×C61—21no—
808C4×C61C2×2−1+411yescharacteristic
809C4×C61#58511yescharacteristic
810Dic61—22no—
811Dic61—41no—
812Dic61—41no—
813Dic61—41no—
814Dic61—41no—
815Dic61—41no—
816Dic61—41no—
817Dic61—41no—
818Dic61—41no—
819Dic61—41no—
820Dic61—41no—
821Dic61—41no—
822#3565—611no—
823#3517—611no—
824#3390—611no—
825#3388—611no—
826#3368—611no—
827#3366—611no—
828#3350—611no—
829#3347—611no—
830#3345—611no—
831#3343—611no—
832#3339—611no—
833#3337—611no—
834#3317—611no—
835#3317—611no—
836#3309—611no—
837#3309—611no—
838#3305—611no—
839#3304—611no—
840#3257—611no—
841#3257—611no—
842#3247—611no—
843#3241—611no—
844#3241—611no—
845#3235—611no—
846#3125—611no—
847#3124—611no—
848#3111—611no—
849#3084—611no—
850#3083—611no—
851#3076—611no—
852#2992D6111yescharacteristic, complemented
853C2×C61—41no—
854C2×C61—41no—
855C2×C61—41no—
856C2×C61#348911yescharacteristic
857C2×C61#358411yescharacteristic
858C2×C61#358511yescharacteristic
859D61—81no—
860D61—81no—
861D61—81no—
862D61—81no—
863#563—1221no—
864#562—1221no—
865#557—611no—
866#557—611no—
867#556—611no—
868#556—1221no—
869#555—611no—
870#554—611no—
871#553—611no—
872#553—611no—
873#553—611no—
874#553—611no—
875#553—1221no—
876#553—1221no—
877#552—611no—
878#552—611no—
879#552—1221no—
880#550—611no—
881#550—611no—
882#550—611no—
883#550—611no—
884#550—1221no—
885#547—611no—
886#547—1221no—
887#544—611no—
888#544—611no—
889#542—611no—
890#542—611no—
891#542—1221no—
892#542—1221no—
893#541—1221no—
894#540—611no—
895#540—611no—
896#540—1221no—
897#540—1221no—
898#539—1221no—
899#533—611no—
900#532—611no—
901#532—1221no—
902#529—611no—
903#529—1221no—
904#529C2×D6111yescharacteristic
905#520—611no—
906#520—611no—
907C4×#41—611no—
908#501—611no—
909#501—611no—
910#501—611no—
911#501—611no—
912#499—611no—
913#499—611no—
914#490—611no—
915#490—611no—
916#490—611no—
917#490—611no—
918#486—611no—
919#486—611no—
920#485—611no—
921#484—611no—
922#483—611no—
923#482—611no—
924#482—611no—
925#482—611no—
926#482—611no—
927#482—611no—
928#482—611no—
929#482—611no—
930#482—611no—
931#482—611no—
932#481—611no—
933#481—611no—
934#481—611no—
935#480—611no—
936#480—611no—
937#480—611no—
938#479—611no—
939#479—611no—
940#479—611no—
941#479—611no—
942#479—611no—
943#479—611no—
944#479—611no—
945#478—611no—
946#478—611no—
947#478—611no—
948#478—611no—
949#478—611no—
950#478—611no—
951#478—611no—
952#478—611no—
953#478—611no—
954#477—611no—
955#477—611no—
956#477—611no—
957#476—611no—
958#476—611no—
959#476—611no—
960#476—611no—
961#476—611no—
962#475—611no—
963#475—611no—
964#474—611no—
965#474—611no—
966#474—611no—
967#474—611no—
968#469—611no—
969#469—611no—
970#468—611no—
971#468—611no—
972#466—611no—
973#466—611no—
974#466—611no—
975#466—611no—
976#465—611no—
977#465—611no—
978#465—611no—
979#465—611no—
980#464—611no—
981#463—611no—
982#463—611no—
983#463—611no—
984#460—611no—
985#460—611no—
986#460—611no—
987#459—611no—
988#459—611no—
989#459—611no—
990#452—611no—
991#452—611no—
992#452—611no—
993#449—611no—
994#449—611no—
995#449—611no—
996#446C2×D6111yescharacteristic
997#446C2×D6111yescharacteristic
998#442—611no—
999#442—611no—
1000#441—611no—
1001#441—611no—
1002#440—611no—
1003#440—611no—
1004#440—611no—
1005#440—611no—
1006C4×Q16—611no—
1007C4×SD16—611no—
1008C4×SD16—611no—
1009C4×D8—611no—
1010#435C2×D6111yescharacteristic
1011#435C2×D6111yescharacteristic
1012#435C2×D6111yescharacteristic
1013#435C2×D6111yescharacteristic
1014C8×D4C2×D6111yescharacteristic
1015C8×D4C2×D6111yescharacteristic
1016#433C2×D6111yescharacteristic
1017#433C2×D6111yescharacteristic
1018#432C2×D6111yescharacteristic
1019#428—611no—
1020#428—611no—
1021#427—611no—
1022#427—611no—
1023C2×#107—611no—
1024C2×#106—611no—
1025#424C2×D6111yescharacteristic
1026#424C2×D6111yescharacteristic
1027C2×C4⋊C8C2×D6111yescharacteristic
1028#417—611no—
1029#417—611no—
1030#416—611no—
1031#416—611no—
1032#416—611no—
1033#416—611no—
1034C61#6216211yescharacteristic, complemented, Sylow
1035C2×#41—611no—
1036C2×#41—611no—
1037C2×#41—611no—
1038C2×#41—1221no—
1039C2×#41—1221no—
1040C2×#41—1221no—
1041C2×Q16—611no—
1042C2×SD16—611no—
1043C2×SD16—611no—
1044C2×SD16—611no—
1045C2×SD16—611no—
1046C2×D8—611no—
1047C2×D8—611no—
1048C2×D8—611no—
1049C2×M16C22×D6111yescharacteristic
1050C2×M16C22×D6111yescharacteristic
1051C22×C8C22×D6111yescharacteristic
1052C22×C8C22×D6111yescharacteristic
1053C22×C8C22×D6111yescharacteristic
1054C22×C8C22×D6111yescharacteristic
1055C4⋊Q8—611no—
1056C4⋊Q8—611no—
1057C4⋊Q8—611no—
1058C4⋊Q8—611no—
1059C4⋊Q8—611no—
1060C4⋊Q8—1221no—
1061C4⋊Q8—1221no—
1062C4⋊Q8—1221no—
1063C4⋊Q8—1221no—
1064#127—611no—
1065#127—611no—
1066#127—611no—
1067#127—1221no—
1068#127—1221no—
1069#127—1221no—
1070#126—1221no—
1071#126—1221no—
1072#126—1221no—
1073#126—1221no—
1074#126—1221no—
1075#126—1221no—
1076#126—1221no—
1077#126—1221no—
1078#126—1221no—
1079#126—1221no—
1080#126—1221no—
1081#126D24411yescharacteristic
1082#126D24411yescharacteristic
1083#125—611no—
1084#125—611no—
1085#125—611no—
1086#125—611no—
1087#125—611no—
1088#125—611no—
1089#125—611no—
1090#125—1221no—
1091#125—1221no—
1092#125—1221no—
1093#125—1221no—
1094#125—1221no—
1095#125—1221no—
1096#125—1221no—
1097#125—1221no—
1098#125D24411yescharacteristic
1099#124—611no—
1100#124—1221no—
1101#124—1221no—
1102#124—1221no—
1103#124—1221no—
1104#124—1221no—
1105#124—1221no—
1106#124D24411yescharacteristic
1107#123—1221no—
1108#123—1221no—
1109#123—1221no—
1110#123—1221no—
1111#123—1221no—
1112#123—1221no—
1113#123—1221no—
1114#123—1221no—
1115#123—1221no—
1116#123—1221no—
1117#123—1221no—
1118#123—1221no—
1119#123—1221no—
1120#123—1221no—
1121#123—1221no—
1122#123D24411yescharacteristic
1123#123D24411yescharacteristic
1124C22⋊Q8—611no—
1125C22⋊Q8—611no—
1126C22⋊Q8—611no—
1127C22⋊Q8—1221no—
1128C22⋊Q8—1221no—
1129C22⋊Q8—1221no—
1130C22⋊Q8—1221no—
1131C22⋊Q8—1221no—
1132C22⋊Q8—1221no—
1133C22⋊Q8—1221no—
1134C22⋊Q8—1221no—
1135C22⋊Q8—1221no—
1136C22⋊Q8—1221no—
1137C22⋊Q8—1221no—
1138C22⋊Q8—1221no—
1139C22⋊Q8D24411yescharacteristic
1140#121—611no—
1141#121—611no—
1142#121—611no—
1143#121—611no—
1144#121—611no—
1145#121—611no—
1146#121—611no—
1147#121—611no—
1148#121—611no—
1149#121—1221no—
1150#121—1221no—
1151#121—1221no—
1152#121—1221no—
1153#121—1221no—
1154#121—1221no—
1155#121—1221no—
1156#121—1221no—
1157#121—1221no—
1158#121—1221no—
1159#121—1221no—
1160#121—1221no—
1161#121—1221no—
1162#121—1221no—
1163#121—1221no—
1164#121—1221no—
1165#121—1221no—
1166#121—1221no—
1167#121—1221no—
1168#121D24411yescharacteristic
1169C4×Q8—611no—
1170C4×Q8—611no—
1171C4×Q8—611no—
1172C4×Q8—611no—
1173C4×Q8—611no—
1174C4×Q8—611no—
1175C4×Q8—611no—
1176C4×Q8—1221no—
1177C4×Q8—1221no—
1178C4×Q8—1221no—
1179C4×Q8—1221no—
1180C4×Q8—1221no—
1181C4×Q8C22×D6111yescharacteristic
1182C4×D4—611no—
1183C4×D4—611no—
1184C4×D4—611no—
1185C4×D4—611no—
1186C4×D4—611no—
1187C4×D4—611no—
1188C4×D4—611no—
1189C4×D4—611no—
1190C4×D4—611no—
1191C4×D4—1221no—
1192C4×D4—1221no—
1193C4×D4—1221no—
1194C4×D4—1221no—
1195C4×D4—1221no—
1196C4×D4—1221no—
1197C4×D4—1221no—
1198C4×D4—1221no—
1199C4×D4—1221no—
1200C4×D4—1221no—
1201C4×D4—1221no—
1202C4×D4—1221no—
1203C4×D4—1221no—
1204C4×D4—1221no—
1205C4×D4—1221no—
1206C4×D4C22×D6111yescharacteristic
1207C4×D4C22×D6111yescharacteristic
1208C4×D4C22×D6111yescharacteristic
1209#117—611no—
1210#117—611no—
1211#117—611no—
1212#117—611no—
1213#117—611no—
1214#117—1221no—
1215#117—1221no—
1216#117—1221no—
1217#117—1221no—
1218#117—1221no—
1219#117—1221no—
1220#117—1221no—
1221#117C22×D6111yescharacteristic
1222#117C22×D6111yescharacteristic
1223C2×C4⋊C4—611no—
1224C2×C4⋊C4—611no—
1225C2×C4⋊C4—611no—
1226C2×C4⋊C4—611no—
1227C2×C4⋊C4—1221no—
1228C2×C4⋊C4—1221no—
1229C2×C4⋊C4—1221no—
1230C2×C42—1221no—
1231C2×C42C22×D6111yescharacteristic
1232#107—611no—
1233#107—611no—
1234#107—611no—
1235#107—611no—
1236#107—611no—
1237#107—611no—
1238#107—611no—
1239#107—611no—
1240#107—611no—
1241#107—611no—
1242#107—611no—
1243#107—611no—
1244#106—611no—
1245#106—611no—
1246#106—611no—
1247#106—611no—
1248#106—611no—
1249#106—611no—
1250#106—611no—
1251#106—611no—
1252#106—611no—
1253#106—611no—
1254#106—611no—
1255#106—611no—
1256C4⋊C8C22×D6111yescharacteristic
1257C4⋊C8C22×D6111yescharacteristic
1258C4⋊C8C22×D6111yescharacteristic
1259C4⋊C8C22×D6111yescharacteristic
1260C4⋊C8C22×D6111yescharacteristic
1261C4⋊C8C22×D6111yescharacteristic
1262C4⋊C8C22×D6111yescharacteristic
1263C4⋊C8C22×D6111yescharacteristic
1264C4⋊C8C22×D6111yescharacteristic
1265C4⋊C8C22×D6111yescharacteristic
1266#103—611no—
1267#103—611no—
1268#103—611no—
1269#103—611no—
1270#103—611no—
1271#103—611no—
1272#103—611no—
1273#103—611no—
1274#103—611no—
1275#103—611no—
1276#102—611no—
1277#102—611no—
1278#102—611no—
1279#102—611no—
1280#102—611no—
1281#102—611no—
1282#102—611no—
1283#102—611no—
1284#102—611no—
1285#102—611no—
1286#102—611no—
1287#102—611no—
1288#102—611no—
1289#102—611no—
1290#102—611no—
1291#102—611no—
1292#102—611no—
1293#102—611no—
1294#102—611no—
1295#102—611no—
1296#102—611no—
1297#102—611no—
1298C22⋊C8C22×D6111yescharacteristic
1299C22⋊C8C22×D6111yescharacteristic
1300C22⋊C8C22×D6111yescharacteristic
1301C22⋊C8C22×D6111yescharacteristic
1302C22⋊C8C22×D6111yescharacteristic
1303C22⋊C8C22×D6111yescharacteristic
1304#97C22×D6111yescharacteristic
1305#97C22×D6111yescharacteristic
1306#97C22×D6111yescharacteristic
1307#97C22×D6111yescharacteristic
1308C4×C8C22×D6111yescharacteristic
1309C4×C8C22×D6111yescharacteristic
1310#41—1222no—
1311#41—1222no—
1312#41—1222no—
1313#41—4882no—
1314#41—4882no—
1315#41—4882no—
1316#41—2441no—
1317#41—2441no—
1318#41—2441no—
1319C2×Q8—611no—
1320C2×Q8—611no—
1321C2×Q8—1221no—
1322C2×Q8—1221no—
1323C2×Q8—1221no—
1324C2×Q8—1221no—
1325C2×Q8—1221no—
1326C2×Q8C2×D24411yescharacteristic
1327C2×D4—611no—
1328C2×D4—611no—
1329C2×D4—611no—
1330C2×D4—611no—
1331C2×D4—1221no—
1332C2×D4—1221no—
1333C2×D4—1221no—
1334C2×D4—1221no—
1335C2×D4—1221no—
1336C2×D4—1221no—
1337C2×D4—1221no—
1338C2×D4—1221no—
1339C2×D4—1221no—
1340C2×D4—1221no—
1341C2×D4—1221no—
1342C2×D4—1221no—
1343C2×D4—1221no—
1344C2×D4—1221no—
1345C2×D4—1221no—
1346C2×D4—1221no—
1347C2×D4—1221no—
1348C2×D4—1221no—
1349C2×D4C2×D24411yescharacteristic
1350C2×D4C2×D24411yescharacteristic
1351C2×D4C2×D24411yescharacteristic
1352C22×C4—1221no—
1353C22×C4—1221no—
1354C22×C4—1221no—
1355C22×C4—1221no—
1356C22×C4—1221no—
1357C22×C4—1221no—
1358C22×C4—1221no—
1359C22×C4—1221no—
1360C22×C4—1221no—
1361C22×C4—1221no—
1362C22×C4—1221no—
1363C22×C4—1221no—
1364C22×C4—1221no—
1365C22×C4—1221no—
1366C22×C4—1221no—
1367C22×C4—1221no—
1368C22×C4C2×D24411yescharacteristic
1369C22×C4C2×D24411yescharacteristic
1370C22×C4C23×D6111yescharacteristic
1371C22×C4C23×D6111yescharacteristic
1372C22×C4C23×D6111yescharacteristic
1373Q16—1222no—
1374SD16—1222no—
1375SD16—2441no—
1376SD16—2441no—
1377SD16—2441no—
1378D8—2441no—
1379D8—2441no—
1380D8—2441no—
1381M16—41no—
1382M16—41no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8—41no—
1386C2×C8—41no—
1387C2×C8C23×D6111yescharacteristic
1388C2×C8C23×D6111yescharacteristic
1389C2×C8C23×D6111yescharacteristic
1390C2×C8C23×D6111yescharacteristic
1391C2×C8C23×D6111yescharacteristic
1392C2×C8C23×D6111yescharacteristic
1393C2×C8C23×D6111yescharacteristic
1394C2×C8C23×D6111yescharacteristic
1395C4⋊C4—611no—
1396C4⋊C4—611no—
1397C4⋊C4—611no—
1398C4⋊C4—611no—
1399C4⋊C4—611no—
1400C4⋊C4—611no—
1401C4⋊C4—611no—
1402C4⋊C4—611no—
1403C4⋊C4—611no—
1404C4⋊C4—611no—
1405C4⋊C4—1221no—
1406C4⋊C4—1221no—
1407C4⋊C4—1221no—
1408C4⋊C4—1221no—
1409C4⋊C4—1221no—
1410C4⋊C4—1221no—
1411C4⋊C4—1221no—
1412C4⋊C4—1221no—
1413C4⋊C4—1221no—
1414C4⋊C4—1221no—
1415C4⋊C4—1221no—
1416C4⋊C4—1221no—
1417C4⋊C4—1221no—
1418C4⋊C4—1221no—
1419C4⋊C4—1221no—
1420C4⋊C4—1221no—
1421C4⋊C4—1221no—
1422C4⋊C4—1221no—
1423C4⋊C4—1221no—
1424C4⋊C4—1221no—
1425C4⋊C4—1221no—
1426C4⋊C4—1221no—
1427C4⋊C4—1221no—
1428C4⋊C4—1221no—
1429C4⋊C4—1221no—
1430C4⋊C4—1221no—
1431C4⋊C4—1221no—
1432C4⋊C4—1221no—
1433C4⋊C4—1221no—
1434C4⋊C4—1221no—
1435C4⋊C4—1221no—
1436C4⋊C4—1221no—
1437C4⋊C4—1221no—
1438C4⋊C4C2×D24411yescharacteristic
1439C4⋊C4C2×D24411yescharacteristic
1440C4⋊C4C2×D24411yescharacteristic
1441C4⋊C4C2×D24411yescharacteristic
1442C4⋊C4C2×D24411yescharacteristic
1443C4⋊C4C2×D24411yescharacteristic
1444C4⋊C4C2×D24411yescharacteristic
1445C4⋊C4C2×D24411yescharacteristic
1446C4⋊C4C2×D24411yescharacteristic
1447C4⋊C4C2×D24411yescharacteristic
1448C22⋊C4—1221no—
1449C22⋊C4—1221no—
1450C22⋊C4—1221no—
1451C22⋊C4—1221no—
1452C22⋊C4—1221no—
1453C22⋊C4—1221no—
1454C22⋊C4—1221no—
1455C22⋊C4—1221no—
1456C22⋊C4—1221no—
1457C22⋊C4—1221no—
1458C22⋊C4—1221no—
1459C22⋊C4—1221no—
1460C22⋊C4—1221no—
1461C22⋊C4—1221no—
1462C22⋊C4—1221no—
1463C22⋊C4—1221no—
1464C22⋊C4—1221no—
1465C22⋊C4—1221no—
1466C22⋊C4—1221no—
1467C22⋊C4—1221no—
1468C22⋊C4—1221no—
1469C22⋊C4—1221no—
1470C22⋊C4—1221no—
1471C22⋊C4—1221no—
1472C22⋊C4—1221no—
1473C22⋊C4—1221no—
1474C22⋊C4—1221no—
1475C22⋊C4—1221no—
1476C22⋊C4C2×D24411yescharacteristic
1477C22⋊C4C2×D24411yescharacteristic
1478C22⋊C4C2×D24411yescharacteristic
1479C22⋊C4C2×D24411yescharacteristic
1480C22⋊C4C2×D24411yescharacteristic
1481C22⋊C4C2×D24411yescharacteristic
1482C22⋊C4C2×D24411yescharacteristic
1483C22⋊C4C2×D24411yescharacteristic
1484C22⋊C4C2×D24411yescharacteristic
1485C22⋊C4C2×D24411yescharacteristic
1486C42—1221no—
1487C42—1221no—
1488C42—1221no—
1489C42—1221no—
1490C42—1221no—
1491C42—1221no—
1492C42—1221no—
1493C42—1221no—
1494C42—1221no—
1495C42—1221no—
1496C42—1221no—
1497C42—1221no—
1498C42C2×D24411yescharacteristic
1499C42C2×D24411yescharacteristic
1500C42C23×D6111yescharacteristic
1501C42C23×D6111yescharacteristic
1502C42C23×D6111yescharacteristic
1503C42C23×D6111yescharacteristic
1504C23—1221no—
1505C23—1221no—
1506C23—1221no—
1507C23—1221no—
1508C23C22×D24411yescharacteristic
1509C23C22×D24411yescharacteristic
1510C23C22×D24411yescharacteristic
1511Q8—41no—
1512Q8—612no—
1513Q8—1221no—
1514Q8—1221no—
1515Q8—1221no—
1516Q8—4881no—
1517Q8—4881no—
1518Q8—4881no—
1519Q8—4881no—
1520Q8—2442no—
1521D4—41no—
1522D4—41no—
1523D4—41no—
1524D4—1221no—
1525D4—1221no—
1526D4—1221no—
1527D4—1221no—
1528D4—1221no—
1529D4—1221no—
1530D4—1221no—
1531D4—1221no—
1532D4—4881no—
1533D4—4881no—
1534D4—4881no—
1535D4—4881no—
1536D4—4881no—
1537D4—4881no—
1538D4—4881no—
1539D4—4881no—
1540D4—4881no—
1541D4—4881no—
1542D4—4881no—
1543D4—4881no—
1544D4—4881no—
1545D4—4881no—
1546D4—2442no—
1547D4—2442no—
1548D4—2442no—
1549D4—2442no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—41no—
1557C2×C4—41no—
1558C2×C4—1221no—
1559C2×C4—1221no—
1560C2×C4—1221no—
1561C2×C4—1221no—
1562C2×C4—1221no—
1563C2×C4—1221no—
1564C2×C4—1221no—
1565C2×C4—1221no—
1566C2×C4—1221no—
1567C2×C4—1221no—
1568C2×C4—1221no—
1569C2×C4—1221no—
1570C2×C4—4881no—
1571C2×C4—4881no—
1572C2×C4—4881no—
1573C2×C4—4881no—
1574C2×C4—4881no—
1575C2×C4—4881no—
1576C2×C4—4881no—
1577C2×C4—4881no—
1578C2×C4—4881no—
1579C2×C4—4881no—
1580C2×C4—4881no—
1581C2×C4—4881no—
1582C2×C4—2442no—
1583C2×C4—2442no—
1584C2×C4—2442no—
1585C2×C4—2442no—
1586C2×C4C22×D24411yescharacteristic
1587C2×C4C22×D24411yescharacteristic
1588C2×C4C22×D24411yescharacteristic
1589C2×C4C22×D24411yescharacteristic
1590C2×C4C22×D24411yescharacteristic
1591C2×C4C22×D24411yescharacteristic
1592C2×C4C22×D24411yescharacteristic
1593C2×C4C22×D24411yescharacteristic
1594C2×C4C22×D24411yescharacteristic
1595C2×C4C22×D24411yescharacteristic
1596C2×C4C22×D24411yescharacteristic
1597C2×C4C24×D6111yescharacteristic
1598C8—21no—
1599C8—21no—
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C22—21no—
1607C22—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—2441no—
1616C22—2441no—
1617C22—2441no—
1618C22—2441no—
1619C22—2441no—
1620C22—2441no—
1621C22—2441no—
1622C22—2441no—
1623C22—2441no—
1624C22—2441no—
1625C22—2441no—
1626C22—2441no—
1627C22C23×D24411yescharacteristic
1628C4—21no—
1629C4—21no—
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—1222no—
1640C4—2441no—
1641C4—2441no—
1642C4—2441no—
1643C4—2441no—
1644C4—2441no—
1645C4—2441no—
1646C4—2441no—
1647C4—2441no—
1648C4—2441no—
1649C4—2441no—
1650C4—2441no—
1651C42−1+4×D6111yescharacteristic
1652C4#1684059711yescharacteristic
1653C2—41no—
1654C2—41no—
1655C2—41no—
1656C2—4881no—
1657C2—4881no—
1658C2—4881no—
1659C2—4881no—
1660C2#2145950011yescharacteristic
1661C2#2146059311yescharacteristic
1662C2#2146060011yescharacteristic
subgroupG/H
centerC22C23×D244
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#2992C2
socleC22×C61C23×D4
hypercenter#2992D61
hypocenterC61#62162
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #529 ◁ #2992

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #21460464C2semidirect
2. #21459823C2semidirect
3. #21458788C2semidirect
4. #21458766C2semidirect
5. #21458550C2semidirect
6. #21458528C2semidirect
7. #21458366C2semidirect
8. #21458321C2semidirect
9. #21458291C2semidirect
10. #21458261C2semidirect
11. #21458222C2semidirect
12. #21458200C2semidirect
13. #21457947C2semidirect
14. #21457947C2semidirect
15. #21457827C2semidirect
16. #21457827C2semidirect
17. #21457770C2semidirect
18. #21457759C2semidirect
19. #21457232C2semidirect
20. #21457232C2semidirect
21. #21457146C2semidirect
22. #21457074C2semidirect
23. #21457074C2semidirect
24. #21457019C2semidirect
25. #21456098C2semidirect
26. #21456083C2semidirect
27. #21455930C2semidirect
28. #21455683C2semidirect
29. #21455672C2semidirect
30. #21455609C2semidirect
31. C61×#2992C2semidirect
852. #2992D61semidirect
1034. C61#62162semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#214604642
#214598232
#214587882
#214587662
#214585502
#214585282
#214583662
#214583212
#214582912
#214582612
#214582222
#214582002
#214579472
#214578272
#214577702
#214577592
#214572322
#214571462
#214570742
#214570192
#214560982
#214560832
#214559302
#214556832
#214556722
#214556092
C61×#29922
#6216261